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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1
If z∈Cz \in \mathbf{C}, then Re⁡(zˉ2)=k2,k>0\operatorname{Re}\left(\bar{z}^2\right)=k^2, k>0, represents
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Correct option: D
a hyperbola
Option D (a hyperbola) is correct because the equation Re⁡(zˉ2)=k2\operatorname{Re}(\bar{z}^2) = k^2 simplifies to x2−y2=k2x^2 - y^2 = k^2, which is the equation of a hyperbola.

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